3. (a) In a class of 130 SHS students, 41 offers agricultural science, 62 offers business...

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3. (a) In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offers visual art. 16 of these students offers both agricultural science and business only and 14 offers both business and visual arts only. Assuming none of the students offers all the three subjects, i) Illustrate the information on a Venn diagram. ii) Find the number of students who offer: a) Only agricultural science, only business and only visual art respectively. B) Only two subjects Y) Only one subject iii) What is the probability of selecting a student at random from the class who offers neither of the subjects? [17 marks] (b) A gold bar of dimension 11cm x 9cm x 3cm was melted and used to fill a cylinder with height,. Find the radius cylinder. [13 of the base of the marks] 3. (a) In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offers visual art. 16 of these students offers both agricultural science and business only and 14 offers both business and visual arts only. Assuming none of the students offers all the three subjects, i) Illustrate the information on a Venn diagram. ii) Find the number of students who offer: a) Only agricultural science, only business and only visual art respectively. B) Only two subjects Y) Only one subject iii) What is the probability of selecting a student at random from the class who offers neither of the subjects? [17 marks] (b) A gold bar of dimension 11cm x 9cm x 3cm was melted and used to fill a cylinder with height,. Find the radius cylinder. [13 of the base of the marks]